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Finding the Fourth Proportional to 502.44, 693.54 and 346.92

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Solution

The fourth proportional to 502.44, 693.54 and 346.92 is: 478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.44 : 693.54 = 346.92 : x
  2. Step 2: Convert to fraction form
    502.44/693.54 = 346.92/x
  3. Step 3: Cross multiply
    502.44x = 693.54 × 346.92
  4. Step 4: Simplify right side
    502.44x = 240,602.90
  5. Step 5: Solve for x
    x = 240,602.90/502.44
  6. Step 6: Final answer
    x = 478.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.